基于三维超混沌映射的图像加密及其FPGA实现  

Image encryption based on 3D hyperchaotic mapping and its FPGA implementation

作　　者：黄丽莲[1] 叶优欣 马衍昊 李创 项建弘[1] 窦铮 HUANG Lilian;YE Youxin;MA Yanhao;LI Chuang;XIANG Jianhong;DOU Zheng(College of Information and Communication Engineering,Harbin Engineering University,Harbin 150001,China)

机构地区：[1]哈尔滨工程大学信息与通信工程学院,黑龙江哈尔滨150001

出　　处：《实验技术与管理》2024年第4期15-24,共10页Experimental Technology and Management

基　　金：2020年黑龙江省教学改革项目(SJGY20200147);2021年黑龙江省教育教学改革项目(SJGY20210198)。

摘　　要：随着信息技术的不断发展,确保信息安全已成为重要问题,而图像作为被广泛使用的多媒体工具,时常面临着泄露的风险,针对该问题提出一种基于三维超混沌映射的图像加密算法。该算法首先构造一个离散三维超混沌系统,此系统相较于传统的混沌系统拥有更好的混沌特性,所生成的序列具有更强的随机性。然后在此序列的基础上对图片进行置乱和扩散:在置乱阶段,通过混沌序列对原始图片的像素点进行索引排序,实现像素置乱;在扩散阶段,使用处理后的混沌序列对置乱图像的像素值进行分层异或,实现像素扩散。软件仿真和性能分析表明,该算法具有较高的安全性和较强的抗干扰能力,最后通过FPGA硬件平台完成图像加密。整个算法包括软件仿真和硬件实现两个部分,能够有效提升学生将理论和实践相结合的能力,增强学生对非线性理论的理解。[Objective]As information technology continues to evolve,the importance of ensuring data security has become paramount.Images,being a prevalent multimedia tool,are often vulnerable to unauthorized access.To counter this,numerous encryption schemes have been proposed,but traditional encryption schemes often grapple with issues related to efficiency and security.The field of cryptography urgently requires an encryption algorithm that is both efficient and secure.The advent of chaos theory provides a promising direction for new encryption methods.Owing to its ergodicity,randomness,and sensitivity to initial values,chaos theory has immense potential for image encryption.Consequently,the derived chaotic image encryption algorithm exhibits excellent security and robust interference resistance.[Methods]Against this background,this paper introduces an image encryption algorithm based on three-dimensional hyperchaotic mapping.Initially,a new type of memristor is designed using a triangular wave function,which is then cascaded using sine and cosine functions to construct a new three-dimensional memristive chaotic system.Then,based on this system,the parameter-dependent Lyapunov exponent and bifurcation diagram are studied,and the randomness of the generated sequence is validated through the NIST test.The results show that the system possesses a wide parameter range and a considerable chaotic region.Compared with the traditional chaotic system,the one presented here exhibits better chaotic characteristics.The sequences it generates possess stronger randomness.Such features elevate the security and reliability of the encryption process,rendering it ideal for image encryption.Then,the image is scrambled and diffused on the basis of this system.The scrambling stage involves indexing and sorting the original image pixels by a chaotic sequence,effectively disrupting the image structure and pixel distribution and thereby increasing the decryption difficulty.During the diffusion stage,the processed chaotic sequence performs a hier

关 键 词：超混沌映射 混沌序列 图像加密 FPGA实现 

分 类 号：TP75[自动化与计算机技术—检测技术与自动化装置]